Trigonometry Examples

$4 (2 x - 1) + 3 (2 x + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 (2 x) + 4 \cdot - 1 + 3 (2 x + 5)$

Step 1.2

Multiply $2$ by $4$ .

$8 x + 4 \cdot - 1 + 3 (2 x + 5)$

Step 1.3

Multiply $4$ by $- 1$ .

$8 x - 4 + 3 (2 x + 5)$

Step 1.4

Apply the distributive property.

$8 x - 4 + 3 (2 x) + 3 \cdot 5$

Step 1.5

Multiply $2$ by $3$ .

$8 x - 4 + 6 x + 3 \cdot 5$

Step 1.6

Multiply $3$ by $5$ .

$8 x - 4 + 6 x + 15$

$8 x - 4 + 6 x + 15$

Step 2

Simplify by adding terms.

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Step 2.1

Add $8 x$ and $6 x$ .

$14 x - 4 + 15$

Step 2.2

Add $- 4$ and $15$ .

$14 x + 11$

$14 x + 11$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$